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Finding the Third Proportional to 51,324 and 112,448

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Solution

The third proportional to 51,324 and 112,448 is: 246,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324 : 112,448 = 112,448 : x
  2. Step 2: Convert to fraction form
    51,324/112,448 = 112,448/x
  3. Step 3: Cross multiply
    51,324x = 112,448 × 112,448
  4. Step 4: Simplify right side
    51,324x = 12,644,552,704
  5. Step 5: Solve for x
    x = 12,644,552,704/51,324
  6. Step 6: Final answer
    x = 246,367.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.